GAUK 32508 Economic models of diffusion processes in networks with different topologies
| Principal investigator: | PhDr. Natálie Švarcová Ph.D. |
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| Collaborators: |
PhDr. Petr Švarc |
| Description: | The aim of grant project is the creation of economic models of control of diffusion processes that explicitly include topologic characteristics of complex networks. Main focus will be on the impact of hubs on the speed of diffusion processes. The contribution to the current scientific knowledge is mainly in application of economic criteria on the optimal strategy search in networks with different topologies. In comparison with current research we add costs on topology search. Optimal use of knowledge of network topology will be derived from marginal cost vs. marginal benefit comparison. We will derive different revenue and cost functions for different topologies using analytical approximations and numerical simulations. This analysis will allow us to make general conclusions about conditions in which the knowledge of topology significantly influences economic efficiency of control of diffusion processes. We will deepen current analysis of costs of epidemics and discuss optimal control of epidemics and diffusion processes for different cost functions (decreasing costs of vaccination with more covered network, different vaccination and treatment costs, impact of network externalities on efficiency of an economy in case of massive disease spread etc.). |
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| End date: | 2009 |
| Publications: | Diffusion Processes on Complex Networks |
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